A plane is flying east at 180 kilometers/hour. The plane\'s altitude is 4 kilome

Question

A plane is flying east at 180 kilometers/hour. The plane's altitude is 4 kilometers.

a.) Make a sketch showing the observer, the plane and the angle of elevation

b.) Find the angle of elevation one minute after the plane flies directly over an observer.(rounded answer to three decimal places)

c.) Find the derivative of the angle of elevation one minute after the plane flies directly over the observer

d.)Find the rate of change of the angle of elevation one minute after the plane flies directly over the observer. Is the angle of elevation increasing or decreasing

e.)Find the distance between the observer and the plane one minute after the plane flies over the observer.

f.)Find the rate at which the distance between the plane and the observer is changing one minute after the plane flies over the observer. Is the distance increasing or decreasing?

The question of above is my homework assignment,so I confuse for that,does someone can help solve this question step by step?Thanks for your help!

Explanation / Answer

Please check the below imgur link for the answer to all parts :

http://imgur.com/ePEUZRr

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